Harmonic spline series representation of scaling functions | Zendy

Thierry Blu | Zendy; Michaël Unser | Zendy

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Harmonic spline series representation of scaling functions

Author(s) -

Thierry Blu,

Michaël Unser

Publication year - 2003

Publication title -

proceedings of spie, the international society for optical engineering/proceedings of spie

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.192

H-Index - 176

eISSN - 1996-756X

pISSN - 0277-786X

DOI - 10.1117/12.507293

Subject(s) - spline (mechanical) , representation (politics) , generalization , series (stratigraphy) , scaling , mathematics , polynomial , harmonic , harmonic analysis , frequency domain , mathematical analysis , geometry , physics , paleontology , quantum mechanics , politics , biology , political science , law , thermodynamics

We present here an explicit time-domain representation of any compactly supported dyadic scaling function as a sum of harmonic splines. The leading term in the decomposition corresponds to the fractional splines that have recently been defined by the authors as a continuous-order generalization of the polynomial splines.

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